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Finding the Fourth Proportional to 416,421.76, 624,881.50 and 382,542.40

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Solution

The fourth proportional to 416,421.76, 624,881.50 and 382,542.40 is: 574,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,421.76 : 624,881.50 = 382,542.40 : x
  2. Step 2: Convert to fraction form
    416,421.76/624,881.50 = 382,542.40/x
  3. Step 3: Cross multiply
    416,421.76x = 624,881.50 × 382,542.40
  4. Step 4: Simplify right side
    416,421.76x = 239,043,668,209.55
  5. Step 5: Solve for x
    x = 239,043,668,209.55/416,421.76
  6. Step 6: Final answer
    x = 574,042.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.